152.25 is what percent of 1790.89 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1790.89 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 1790.89, so we can write it down as 100%=1790.89.
4. We know, that x% equals 152.25 of the output value, so we can write it down as x%=152.25.
5. Now we have two simple equations:
1) 100%=1790.89
2) x%=152.25
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=1790.89/152.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 152.25 is what percent of 1790.89

100%/x%=1790.89/152.25
(100/x)*x=(1790.89/152.25)*x       - we multiply both sides of the equation by x
100=11.762824302135*x       - we divide both sides of the equation by (11.762824302135) to get x
100/11.762824302135=x
8.5013596591639=x
x=8.5013596591639

now we have:
152.25 is 8.5013596591639% of 1790.89